What is the Least Common Multiple of 32154 and 32168?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 32154 and 32168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32154 and 32168, than apply into the LCM equation.

GCF(32154,32168) = 2
LCM(32154,32168) = ( 32154 × 32168) / 2
LCM(32154,32168) = 1034329872 / 2
LCM(32154,32168) = 517164936

Least Common Multiple (LCM) of 32154 and 32168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32154 and 32168. First we will calculate the prime factors of 32154 and 32168.

Prime Factorization of 32154

Prime Factorization of 32168

Now multiplying the highest exponent prime factors to calculate the LCM of 32154 and 32168.

LCM(32154,32168) = 2³ × 3¹ × 23¹ × 233¹ × 4021¹
LCM(32154,32168) = 517164936